在中位数排序集抽样中连续使用辅助变量估计总体平均值

IF 1.4 3区社会学 Q3 DEMOGRAPHY

Mathematical Population Studies Pub Date : 2020-10-02 DOI:10.1080/08898480.2020.1816703

U. Shahzad, I. Ahmad, E. Oral, M. Hanif, I. Almanjahie

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引用次数: 20

摘要

中位数排名集抽样是一种抽样方法，用于估计当感兴趣的变量是难以或昂贵的测量总体均值。基于辅助变量的最小值和最大值的两个总体均值估计是建立在连续使用秩、第二原始矩和线性变换辅助变量的基础上的。给出了估计器的偏差和均方误差。所提出的中位数排序集抽样下的估计器比比率估计器、回归估计器、差加比估计器和指数估计器具有更高的效率。

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Estimation of the population mean by successive use of an auxiliary variable in median ranked set sampling

ABSTRACT Median ranked set sampling is a sampling procedure used to estimate the population mean when the variable of interest is difficult or costly to measure. Two estimators for the population mean based on the minimum and maximum values of the auxiliary variable are built upon a successive use of ranks, second raw moments, and the linearly transformed auxiliary variable. The biases and the mean square errors of the estimators are derived. The proposed estimators under median ranked set sampling have higher efficiencies than the ratio, regression, difference-cum-ratio, and exponential estimators.

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来源期刊

Mathematical Population Studies 数学-数学跨学科应用

CiteScore

3.20

自引率

11.10%

发文量

审稿时长

>12 weeks

期刊介绍： Mathematical Population Studies publishes carefully selected research papers in the mathematical and statistical study of populations. The journal is strongly interdisciplinary and invites contributions by mathematicians, demographers, (bio)statisticians, sociologists, economists, biologists, epidemiologists, actuaries, geographers, and others who are interested in the mathematical formulation of population-related questions. The scope covers both theoretical and empirical work. Manuscripts should be sent to Manuscript central for review. The editor-in-chief has final say on the suitability for publication.